Question

Let $V$ and $E$ denote the gravitational potential and gravitational field at a point. It is possible to have

• A. $V=0$ and $E=0$
• B. $V=0$ and $E\ne 0$
• C. $V\ne 0$ and $E=0$
• D. All of the above

Answer 1

The correct option is D All of the above

A) At $\infty$ both V and E are zero.
B) Let, $V_{\infty }=\frac{GM}{R}$ for an unit mass.

So, $V_R=0$ i.e. at the radius $R$ of solid sphere(mass $M$) and $E_R=\frac{GM}{R^2}$
C) Inside a spherical shell V =$\frac{-GM}{R}$ and E =0
Thus, all the above(D) is correct.